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what is the value of integration limit n-> infinity [n!/n to the power n]to the power 1/n
Solution) limit n-->inf. [1 + (n!-n^n)/n^n]^1/n
= e^ limit n-->inf. {(n!-n^n)/n^n}.1/n
(applying formula lim x-->a [1 + f(x)]^g(x) = e ^ {lim x-->a f(x).g(x)} )
=e ^ lim n-->inf. (n-1)!/(n)^n-1 - 1/n
=e ^ lim n---> inf. (1-1/n)(1-2/n)(1-3/n)......1/n - 1/n
=e ^ (1-o)(1-0).....(1-0).0 - 0
=e ^ 0-0
=1
hence, integation 1= x + C
Inverse Cosine : Now see at inverse cosine. Following is the definition for the inverse cosine. y = cos -1 x ⇔ cos y = x for
4/(x+7)(x+4)
can someone help me with a statistics quiz?
Find the sum of all 3 digit numbers which leave remainder 3 when divided by 5. Ans: 103, 108..........998 a + (n-1)d = 998
FORMULAS DERIVATION
1. A psychologist developed a test designed to help predict whether production-line workers in a large industry will perform satisfactorily. A test was administered to all new empl
cosx
2.46825141458*1456814314.446825558556
i dont now how to do it
Higher Order Derivatives : Let's begin this section with the given function. f ( x ) = 5x 3 - 3x 2 + 10 x - 5 By this point we have to be a
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